Ques:- Sanskriti Award 2006 for Literature has been awarded to?
Ques:- When x is real what is the least value of (x**2-6*x+5)/(x**2+2*x+1)
Ques:- In a knockout tournament 51 teams participated. A team is out if the tournament if the team lost twice. How many matches to be held to choose the winner?
Recent Answer : :
ans : 101 bcoz after every two matches one team is eliminated…so to eliminate 50 team there will be require 100 matches…+ 1 for deciding winner…
Ques:- If 13 = 13w/(1-w) ,then (2w)2 =?
Recent Answer : :
1
Ques:- Three pipes of same capacity can fill a tank in 8 hours. If there are only two pipes of same capacity, the tank can be filled in?
Recent Answer : :
3×8=24=2xt ===> t=12hours
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A. 1
B. 2
C. 3
D. 4
Recent Answer : :
1
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Ques:- A policeman buys some bunches of yellow bananas at 30 cents per bunch and red bananas 40 cents/bunch .He said if i have split the sum equally and bought bananas he would have got two more bunches find the amount he used it to buy bananas
Recent Answer : :
140 cents
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Ques:- Imagine you are standing in front of a mirror, facing it. Raise your left hand. Raise your right hand. Look at your reflection. When you raise your left hand your reflection raises what appears to be his right hand. But when you tilt your head up, your reflection does too, and does not appear to tilt his/her head down. Why is it that the mirror appears to reverse left and right, but not up and down?
Recent Answer : :
The definition of left and right depends on the observer and
is reversed when facing the opposite direction. The
definition of up and down does not depend on the orientation
of the observer.
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Ques:- A certain sum of money at simple interest amounted Rs.840 in 10 years at 3% per annum, evaluate the sum?
Recent Answer : :
(p*r*t)/100 = I ………………..(p*3*10)/100 = 840 …..p = 84000/30 = 2800
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Recent Answer : :
Because from there i can do more and learned more too
Ques:- The smallest prime number greater than 1000 is
A. 1001
B. 1003
C. 1009
D. 1007
Recent Answer : :
A
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Ques:- There are four dogs/ants/people at four corners of a square of unit distance. At the same instant all of them start running with unit speed towards the person on their clockwise direction and will always run towards that target. How long does it take for them to meet and where?
Recent Answer : :
They’ll never meet unless some of them stop and other continue to run
Ques:- In a sports contest there were m medals awarded on n successive days (n > 1). 1. On the first day 1 medal and 1/7 of the remaining m – 1 medals were awarded. 2. On the second day 2 medals and 1/7 of the now remaining medals was awarded; and so on.On the nth and last day, the remaining n medals were awarded.How many days did the contest last, and how many medals were awarded altogether?
Recent Answer : :
6*6=36 medals
6 days
1st day=1+35/7=6 remaining 30 medals
2nd day=2+28/7=6 remaining 24 medals
3rd day=3+21/7=6 remaining 18 medals
…
6th day 6 medals
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Ques:- In what time will a train 100 m long cross an electric pole, it its speed be 144 km/hr?
Recent Answer : :
2.5 sec
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Ques:- Intro and family background.
(x**2 – 6* x + 5) = (x-1)*(x-5)
(x**2 + 2 * x + 1) = (x + 1) * (x+1) = (x+1)**2
For what x is (x-1)*(x-5)/( (x+1)**2) a minimum?
One way to answer this question is by using calculus.
Take the derivative, and set to zero.
Since this is a fraction of polynomials, and a fraction is
zero only if it’s numerator is zero, we need calculate only
the numerator of the derivative and set it to zero.
The numerator of the
Derivative of (x-1)*(x-5)/( (x+1)**2) is
( (x-1) + (x-5) ) ( x+1)**2 – (x-1)(x-5)( 2 (x+1) )
= (2 x – 6) (x+1)**2 – (2) (x-1)(x-5) (x+1)
= 0
Divide through by 2 (x+1)
(x-3)(x+1) – (x-1)(x-5) = 0
(x**2 – 2 x – 3 ) – (x**2 – 6 x + 5) = 0
x**2 – x**2 – 2 x + 6 x – 3 – 5 = 0
4 x – 8 = 0
x = 2
Plugging in x = 2 into the original
(x**2-6*x+5)/(x**2+2*x+1)
gives us (2**2 – 6 * 2 + 5)/(2**2 + 2*2 + 1)
= (4 – 12 + 5) / (4 + 4 + 1) = -3/9 = -1/3
Least value is -1/3